340829730 has 48 divisors (see below), whose sum is σ = 891838584. Its totient is φ = 90305280.

The previous prime is 340829729. The next prime is 340829767. The reversal of 340829730 is 37928043.

It can be written as a sum of positive squares in 4 ways, for example, as 205549569 + 135280161 = 14337^2 + 11631^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2070 + ... + 26190.

Almost surely, 2^340829730 is an apocalyptic number.

340829730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 340829730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445919292).

340829730 is an abundant number, since it is smaller than the sum of its proper divisors (551008854).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

340829730 is a wasteful number, since it uses less digits than its factorization.

340829730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24291 (or 24288 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 340829730 is about 18461.5744182342. The cubic root of 340829730 is about 698.5205010288.

The spelling of 340829730 in words is "three hundred forty million, eight hundred twenty-nine thousand, seven hundred thirty".